The contact process on a homogeneous tree Td of degree d + 1 ≥ 3 is known [10, 7, 13] to have three distinct phases: an extinction phase, a weak survival phase, and a strong survival phase. The existence of two qualitatively different survival phases is the most striking feature of the process, as the contact process on the integer lattice Zd, in any dimension, exhibits only one survival phase ...